Search a number
-
+
22390368 = 25371113233
BaseRepresentation
bin101010101101…
…0011001100000
31120010112210220
41111122121200
521212442433
62115523040
7361213020
oct125323140
946115726
1022390368
1111703240
1275b9480
13483c450
142d8ba80
151e742b3
hex155a660

22390368 has 192 divisors, whose sum is σ = 79252992. Its totient is φ = 5345280.

The previous prime is 22390363. The next prime is 22390369. The reversal of 22390368 is 86309322.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (22390363) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 95980 + ... + 96212.

It is an arithmetic number, because the mean of its divisors is an integer number (412776).

Almost surely, 222390368 is an apocalyptic number.

22390368 is a gapful number since it is divisible by the number (28) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 22390368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (39626496).

22390368 is an abundant number, since it is smaller than the sum of its proper divisors (56862624).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

22390368 is a wasteful number, since it uses less digits than its factorization.

22390368 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 277 (or 269 counting only the distinct ones).

The product of its (nonzero) digits is 15552, while the sum is 33.

The square root of 22390368 is about 4731.8461513452. The cubic root of 22390368 is about 281.8515389772.

The spelling of 22390368 in words is "twenty-two million, three hundred ninety thousand, three hundred sixty-eight".